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Finding the Fourth Proportional to 189,211.80, 283,428.90 and 130,114.20

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Solution

The fourth proportional to 189,211.80, 283,428.90 and 130,114.20 is: 194,903.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,211.80 : 283,428.90 = 130,114.20 : x
  2. Step 2: Convert to fraction form
    189,211.80/283,428.90 = 130,114.20/x
  3. Step 3: Cross multiply
    189,211.80x = 283,428.90 × 130,114.20
  4. Step 4: Simplify right side
    189,211.80x = 36,878,124,580.38
  5. Step 5: Solve for x
    x = 36,878,124,580.38/189,211.80
  6. Step 6: Final answer
    x = 194,903.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.